Rate-equation approach to laser light statistics

Chusseau, Laurent; Arnaud, Jacques; Philippe, Fabrice

doi:10.1134/1.1576846

Cited by 7 publications

(4 citation statements)

References 16 publications

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“…Following Agrawal 21 and taking an intraband relaxation time below 100 fs which is consistent with InGaAsP active layers 22 or InGaAs QW 23 , it is not possible to have a stable dual-mode operation if the two modes are separated by less than 1.6 THz. This result was also obtained from rate-equations 24,25 . Such an estimation moreover neglects the spatial hole burning which is also involved in the coupling of longitudinal modes 26 .…”

Section: Introductionsupporting

confidence: 72%

Mode competition in a dual-mode quantum-dot semiconductor microlaser

Chusseau

Philippe²,

Viktorovitch³

et al. 2013

Phys. Rev. A

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This paper describes the modeling of quantum dots lasers with the aim of assessing the conditions for stable cw dual-mode operation when the mode separation lies in the THz range. Several possible models suited for InAs quantum dots in InP barriers are analytically evaluated, in particular quantum dots electrically coupled through a direct exchange of excitation by the wetting layer or quantum dots optically coupled through the homogeneous broadening of their optical gain. A stable dual-mode regime is shown possible in all cases when quantum dots are used as active layer whereas a gain medium of quantum well or bulk type inevitably leads to bistable behavior. The choice of a quantum dots gain medium perfectly matched the production of dual-mode lasers devoted to THz generation by photomixing.

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Section: Introductionsupporting

confidence: 72%

Mode competition in a dual-mode quantum-dot semiconductor microlaser

Chusseau

Philippe²,

Viktorovitch³

et al. 2013

Phys. Rev. A

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“…Another exact and conceptually simple algorithm for stochastic simulation is Gillespie's Direct Method [19,20,42], which is similar to the FRM, but requires only two random draws per iteration. This could potentially increase the efficiency of the simulation further, but due to the relatively low number of event types in the rate equations, the difference in computation time is expected to be minor.…”

Section: Summary and Discussionmentioning

confidence: 99%

Efficient stochastic simulation of rate equations and photon statistics of nanolasers

André¹,

Mørk²,

Wubs³

2020

Opt. Express

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“…Another exact and conceptually simple algorithm for stochastic simulation is Gillespie's Direct Method [19,20,41], which is similar to the FRM, but requires only two random draws per iteration. This could potentially increase the efficiency of the simulation further, but due to the relatively low number of event types in the rate equations, the difference in computation time is expected to be minor.…”

Section: Summary and Discussionmentioning

confidence: 99%

Efficient stochastic simulation of rate equations and photon statistics of nanolasers

André,

Mork,

Wubs

2020

Preprint

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Based on a rate equation model for single-mode two-level lasers, two algorithms for stochastically simulating the dynamics and steady-state behaviour of micro-and nanolasers are described in detail. Both methods lead to steady-state photon numbers and statistics characteristic of lasers, but one of the algorithms is shown to be significantly more efficient. This algorithm, known as Gillespie's First Reaction Method (FRM), gives up to a thousandfold reduction in computation time compared to earlier algorithms, while also circumventing numerical issues regarding time-increment size and ordering of events. The FRM is used to examine intra-cavity photon distributions, and it is found that the numerical results follow the analytics exactly. Finally, the FRM is applied to a set of slightly altered rate equations, and it is shown that both the analytical and numerical results exhibit features that are typically associated with the presence of strong inter-emitter correlations in nanolasers.

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Rate-equation approach to laser light statistics

Cited by 7 publications

References 16 publications

Mode competition in a dual-mode quantum-dot semiconductor microlaser

Mode competition in a dual-mode quantum-dot semiconductor microlaser

Efficient stochastic simulation of rate equations and photon statistics of nanolasers

Efficient stochastic simulation of rate equations and photon statistics of nanolasers

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